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4. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass S(t) of the substance present at time t, and find lim S(t). hourly rate equal to 10 t→∞

4. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass S(t) of the substance present at time t, and find lim S(t). hourly rate equal to 10 t→∞

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an hourly rate equal to \(\frac{1}{10}\) of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass \(S(t)\) of the substance present at time \(t\), and find \(\lim_{t \to \infty} S(t)\).
Transcribed Image Text:**Problem Statement:** A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an hourly rate equal to \(\frac{1}{10}\) of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass \(S(t)\) of the substance present at time \(t\), and find \(\lim_{t \to \infty} S(t)\).
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